The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. (a) Compute the value of the chi-square test statistic. x² = (Round to three decimal places as needed.) Y₂ X₁ X₂ X3 31 45 52 (35.16) (45.71) (47.12) 20 15 19 |(14.84)|(19.29)|(19.88)

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